Factor completely by grouping.
x^3 + 7x^2 + 9x + 63

Answer:

Total cost of membership will be the same for both gyms after 5 months.

Step-by-step explanation:

Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership.

Tami's Toning does not charge an application fee, but charges $14 per month for membership.

To find: After how many months will the total cost of membership be the same for both gyms

Solution:

Let [tex]t[/tex] denotes number of months after which total cost of membership will be the same for both gyms

For Suzy's Sculpting gym,

Total charges [tex]= 10+12t[/tex]

For Tami's Toning,

Total charges [tex]=14t[/tex]

Now solve [tex]10+12t=14t[/tex]

[tex]10+12t=14t\\10=14t-12t\\10=2t\\t=\frac{10}{2}\\ t=5[/tex]

So, total cost of membership will be the same for both gyms after 5 months.

Answer: A rotation of 180° around the origin.

Step-by-step explanation:

When we have a point (x, y) and we want to reflect it over a given line, the distance between the point and the line remains invariant under the transformation.

This is equivalent as a rotation around a point, the "radius" of the circle that we are creating when we do a rotation is constant.

Now, let's analyze our case:

First a reflection over x-axis, and then a reflection over the y-axis.

This means that if our point starts in quadrant 1 then:

-The reflection over the x-axis will leave our point in quadrant 4.

-The reflection over the y-axis will leave our point in quadrant 3.

Now, if our point stated on quadrant 2.

-The reflection over the x-axis will leave our point in quadrant 3.

-The reflection over the y-axis will leave our point in quadrant 4.

So essentially, these transformations "move" our point to the opposite quadrant, such that the rules of the reflection are applied.

This means that:

The distance between our point and the x-axis does not change.

The distance between our point and the y-axis does not change.

But if the distances to both axes do not change, then the distance between our point and the origin also does not change.

This means that we can find a rotation that is equivalent to this transformation.

So we must look at a rotation that moves our point 2 quadrants.

a rotation that moves our point 2 quadrants will be:

A rotation of 180° around the origin.

Answer:

301.57

Step-by-step explanation:

I think this is it. I divided the total before taxes by the percentage and added what I got from the division to the total before taxes.

Answer:

Step-by-step explanation:

Answer:

Some points are: (1, 4), (0, 9), and (3, -6), just to name a few.

Step-by-step explanation:

We can find out an ordered pair for this equation by plotting the line 5x + y = 9 on a graph. If you graph 5x + y = 9, then we see that the point (1, 4) is a point that the line intersects. Let's substitute that values:

5(1) + 4 = 9

Order of operations, multiply first...

5(1) = 5

Then it becomes...

5 + 4 = 9

We can see that 5 plus 4 actually does equal 9, so the point (1, 4) works. Let's try a different point. We can see the point (0, 9) is another point that the line intersects. Same process for this point too.

5(0) + 9 = 9

Then...

5(0) = 0

0 + 9 = 9

We see that 0 plus 9 ALSO works, but let's try one more time. Another point that works is the point (3, -6) Again, same process.

5(3) + -6 = 9

That is equal to:

5(3) - 6 = 9

Simplify...

5(3) = 15

15 - 6 = 9

15 minus 6 works as well! Any point that the line intersects will be a solution for the equation. I hope this helps!

Answer:

a)1 , 5 , 9 , 13 , 17, 21 , 25

Answer:

0

Step-by-step explanation:

5(x+3) replace x with -3

5(-3+3)

5(0)

0

Answer:

$5.58

Step-by-step explanation:

Because divide 12 by 67:

67 ÷ 12 = 5.58

5.58 is the answer

Hope this helped! Pls Brainliest!

Answer:

$5.58

Step-by-step explanation:

$67.00÷12=$5.58

Hope this helps!

Answer:1/9

Step-by-step explanation:

Answer: B

Step-by-step explanation:

If a=2 then you would have u=3b-2(2) or u=3b-4 :)

Answer:

Step-by-step explanation:

B= 2/3a-2//3+1/3u, u equals R, A equals r

A=3/2b+1-1/2u, u equals R b equals R

Answer:

21.9 feet

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.

Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?

Given parameters

Altimeter of vivian at its lowest point = -9.6 feet

Altimeter of vivian at the top of the wheel = 12.3feet

Note that the sea level is at 0 feet.

change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:

= (12.3-0)+(0-(-9.6))

= 12.3+(0+9.6)

= 12.3+9.6

= 21.9 feet

From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.

The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.

Answer:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Step-by-step explanation:Hide Sample Answer

The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.

Answer:

x=8

Step-by-step explanation:

set the equations equal to themselves and solve

3x-9=2x-1

+9 and -2x

x=8

Check:

3(8)-9=2(8)-1

24-9=16-1

15=15

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

Answer:

D) (-5, - 7)

Step-by-step explanation:

Because both lines intersect, they must share a point (have same x and y coordinates).

[tex]2x + 3 = - 4x - 27[/tex]

[tex]2x = - 4x - 30[/tex]

[tex]6x = - 30[/tex]

[tex]x = - 5[/tex]

Substite x for - 5 in any of the equations to find the y coordinate.

[tex]y = 2( - 5) + 3 [/tex]

[tex]y = - 10 + 3[/tex]

[tex]y = - 7[/tex]

The x coordinate for the intersection point is - 5 and the y coordinate is - 7. The intersection point is (-5, - 7)

Answer:

y = (-1/2)x + 4

Step-by-step explanation:

Slope (m): (-1/2)

down one, right two

y-intercept (b): 4

y = mx + b

The slope-intercept equation if the line is [tex]y=-\frac{1}{2}x+4[/tex]

To find the slope, you must put the 2 points into the slope equation.

[tex]\frac{3-4}{2-0}=\frac{-1}{2}[/tex]

And to find the y-intercept, you must find where the line crosses the y-axis.

(0,4)

Answer: you would times the base times height

Step-by-step explanation: learned it in middle school

Answer:

(x + 5)(3x - 2)

Step-by-step explanation:

Assuming you require the expression factorised.

3x² + 13x - 10

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

The factors are + 15 and - 2

Use these factors to split the x- term

3x² + 15x - 2x - 10 ( factor the first/second and third/fourth terms )

= 3x(x + 5) - 2(x + 5) ← factor out (x + 5) from each term

= (x + 5)(3x - 2) ← in factored form

Answer:

83 points.

Step-by-step explanation:

The original price of the item was $70 if Joyce paid $31.50 for an item at the store that was 55 percent off the original price.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Let x be the original price of the item. Then, we can write the equation:

x - 0.55x = 31.50

from the given expression we need to solve the value of x to get the original price if Joyce paid $31.50 for an item at the store that was 55 percent off the original price

Simplifying the given equation, we get:

0.45x = 31.50

Dividing both sides by 0.45, we get:

x = 70

Therefore, the original price of the item was $70.

To learn more about Algebraic expression from given link.

https://brainly.com/question/28884894

#SPJ1

Answer:

13. -200, balance on car loans

14. 8, monthly payments

15. linear eqn, y=ax+b

16.values of y will decrease.(although i think the graph will remain linear)

17. as the monthly payment decrease so does the balance on car loan decrease.

Answer:

-6r-18g+6t

Step-by-step explanation:

Answer:

18g−6r+6t

PLEASE GIVE BRAINLIEST I EVEN EXPLAINED IT

Step-by-step explanation:

−6(r+3g−t)

=(−6)(r+3g+−t)

=(−6)(r)+(−6)(3g)+(−6)(−t)

=−6r−18g+6t

=−18g−6r+6t

Answer:

I'm sorry can't help but edit it to a question

Step-by-step explanation:

:) ello

Answer:

The correction is  D

Step-by-step explanation:

From the question we are told that

    The maximum height is  [tex]h_m = 18 ft[/tex]

    The minimum height is [tex]h_i = 4 ft[/tex]

     The function that models the height of the blade is [tex]h(x) =- 14 sin(x) + 18[/tex] here x is time in seconds

 Now at maximum height

       [tex]18 = - 14 sin(x) + 18[/tex]

=>     [tex]-14 sin(x) =0[/tex]

=>     [tex]sin(x) =0[/tex]        

=>     [tex]x =sin^{-1}[0][/tex]

=>     [tex]x =0 \ s[/tex]    

 Now at minimum  height

        [tex]4 = -14 sin(x) + 18[/tex]

=>      [tex]-14 = -14 sin(x)[/tex]

=>     [tex]sin (x) = 1[/tex]

=>     [tex](x) = sin^{-1}[1][/tex]

=>     [tex]x = 1.6 \ s[/tex]

Now this values is the time taken to move from the higher position of the blade to the lower position of the blade

Now it will take this same amount of time to complete the circle

So the total time take is

    [tex]x_t = 2 * |x|[/tex]

=>   [tex]x_t = 2 * 1.6[/tex]

=>   [tex]x_t = 3.2 \ s[/tex]

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

Answer is -4

REAL NAME - SHRESTH DUBEY

-4 is the Answer.

-32/8 would be -4

Answer:

yes

Step-by-step explanation: